A brushless electric machine, in particular a brushless DC motor, has a stator and a rotor arranged within the stator so as to be rotatable relative thereto. The rotor has a cylindrical base body which is non-rotatably connected to a machine shaft and carries a plurality of permanent magnets on its outer circumference, and the stator has a stator winding with a plurality of single-tooth windings for driving the rotor via an electrically generated magnetic field. The permanent magnets of the rotor are fixed by a thin-walled reinforcement radially surrounding them, wherein the reinforcement is connected to the permanent magnets by a plurality of welding points in a materially and/or positively locking manner.